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When conducting sample variance using the Kruskal-Wallis test, the sample values are pooled together randomly. Select...

When conducting sample variance using the Kruskal-Wallis test, the sample values are pooled together randomly. Select one: a. FALSE b. NEITHER c. TRUE

Math   Statistics-And-Probability   
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Answer #1

Correct answer: (C) TRUE

since

The Kruskal-Wallis test is a nonparametric (distribution free) test, and is used when the assumptions of one-way ANOVA are not met. Both the Kruskal-Wallis test and one-way ANOVA assess for significant differences on a continuous dependent variable by a categorical independent variable (with two or more groups). In the ANOVA, we assume that the dependent variable is normally distributed and there is approximately equal variance on the scores across groups. However, when using the Kruskal-Wallis Test, we do not have to make any of these assumptions. Therefore, the Kruskal-Wallis test can be used for both continuous and ordinal-level dependent variables. However, like most non-parametric tests, the Kruskal-Wallis Test is not as powerful as the ANOVA.

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